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Finding the Third Proportional to 400,943,277 and 637,985,929.50

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Solution

The third proportional to 400,943,277 and 637,985,929.50 is: 1,015,171,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,943,277 : 637,985,929.50 = 637,985,929.50 : x
  2. Step 2: Convert to fraction form
    400,943,277/637,985,929.50 = 637,985,929.50/x
  3. Step 3: Cross multiply
    400,943,277x = 637,985,929.50 × 637,985,929.50
  4. Step 4: Simplify right side
    400,943,277x = 407,026,046,239,978,944
  5. Step 5: Solve for x
    x = 407,026,046,239,978,944/400,943,277
  6. Step 6: Final answer
    x = 1,015,171,146.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.